Monthly Best Of on 07/28/2019




A pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0) -tridimensional cross-section-

Jean-François COLONNA
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www.lactamme.polytechnique.fr

CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, École polytechnique, Institut Polytechnique de Paris, CNRS, France

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(CMAP28 WWW site: this page was created on 07/28/2019 and last updated on 10/03/2024 17:03:54 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

(*): Undisplayed pictures -if any- do not exist.



Erosion of a bidimensional random (with small and large scale correlations)medium
1-145 reference(s)		Gravitation and space-time curvature
2-140 reference(s)		The random walk of photons escaping the Sun
3-109 reference(s)		Victor Vasarely meets Piet Mondrian
4-90 reference(s)
The random walk of photons escaping the Sun
5-77 reference(s)		The Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
6-74 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
7-63 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
8-62 reference(s)
Happy new year 2000
9-59 reference(s)		An extended Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-
10-57 reference(s)		Autostereogram with an hidden volcano
11-56 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
12-52 reference(s)
Autostereogram of the CMAP
13-51 reference(s)		The random walk of photons escaping the Sun
14-51 reference(s)		Artistic view of the prime numbers
15-50 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
16-49 reference(s)
The bidimensional John Conway's life game
17-48 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
18-45 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
19-45 reference(s)		The Bonan-Jeener-Klein triple bottle
20-45 reference(s)
Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
21-42 reference(s)		Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
22-41 reference(s)		The Jeener-Klein triple bottle
23-41 reference(s)		The journey of an Earth-like virtuel planet (green)from Pluto (grey) to the Sun (yellow) -point of view of the virtual planet-
24-40 reference(s)
Bidimensional geometrical texture animation
25-39 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
26-39 reference(s)		Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
27-38 reference(s)		Bidimensional texture animation by means of the Generalized Product
28-38 reference(s)
Cantor's diagonal argument
29-38 reference(s)		From Mars to the Sun
30-37 reference(s)		Tridimensional zoom in on the Mandelbrot set
31-37 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
32-37 reference(s)
Bidimensional quasi-symmetrical fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
33-36 reference(s)		Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
34-36 reference(s)		Tridimensional texture animation by means of the Generalized Product
35-36 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
36-36 reference(s)
Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
37-35 reference(s)		Tridimensional display of the particle density of a bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
38-35 reference(s)		A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
39-35 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
40-35 reference(s)
The Möbius strip
41-35 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
42-35 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
43-35 reference(s)		A spherical cross-section inside the Menger Sponge -iteration 5-
44-34 reference(s)
Hypercube
45-34 reference(s)		Quantum vacuum fluctuations
46-33 reference(s)		A fractal vegetal structure
47-31 reference(s)		Sixteen interlaced fractal torus
48-31 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
49-30 reference(s)		A blue Sponge-tree -a Tribute to Yves Klein-
50-28 reference(s)		Pseudo Olympic Rings
51-27 reference(s)		Metropolis -a Tribute to Fritz Lang-
52-24 reference(s)
Numerical value table -trigonometric functions-
53-23 reference(s)		Artistic view of the Cosmic Web (nodes, galaxy clusters, filaments,... including 637.312 galaxies)obtained by means of a non deterministic fractal process
54-23 reference(s)		Bidimensional self-Portrait -a Tribute to Victor Vasarely-
55-22 reference(s)		The Menger Sponge -iteration 5-
56-22 reference(s)
Untitled 0265 -a Tribute to Vassily Kandinsky-
57-22 reference(s)		A simple geometrical periodical structure
58-21 reference(s)		An aperiodic Penrose tiling of the plane -a Tribute to Piet Mondrian and Roger Penrose-
59-20 reference(s)		Two multiplexed autostereograms by means of a pi/2 rotation
60-20 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
61-20 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
62-19 reference(s)		Tridimensional self-Portrait -a Tribute to Victor Vasarely-
63-19 reference(s)		The Universe at the heart of a Calabi-Yau manifold
64-19 reference(s)
The Menger Sponge -iteration 5- with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
65-19 reference(s)		Bidimensional self-Portrait -a Tribute to Victor Vasarely-
66-18 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
67-18 reference(s)		Autostereogram with an hidden volcano
68-18 reference(s)
The Sierpinski Carpet -iteration 5-
69-18 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
70-18 reference(s)		Autostereogram with an hidden volcano
71-17 reference(s)		A pay slip
72-17 reference(s)
The Menger Sponge -iteration 4- with a 1/O conformal transformation in the octonionic space -tridimensional cross-section-
73-17 reference(s)		The Jeener-Klein quintuple bottle
74-17 reference(s)		Intertwining based on the geometry of the Boy surface
75-16 reference(s)		Autostereogram with an hidden volcano
76-16 reference(s)
N-body problem integration (N=4: one star, one heavy planet and one light planet with a satellite)computed with 2 different optimization options on the same computer (sensitivity to rounding-off errors)
77-16 reference(s)		Untitled 0294 -a Tribute to Victor Vasarely
78-15 reference(s)		Monument Valley à la David Hockney
79-15 reference(s)		Quark and gluon structure of a nucleon
80-15 reference(s)
From 'geocentrism' to 'heliocentrism'
81-15 reference(s)		Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
82-15 reference(s)		The Lorenz attractor
83-15 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
84-15 reference(s)
Evolution of a tridimensional representation of a quadridimensional Calabi-Yau manifold
85-15 reference(s)		The Jeener-Klein triple bottle
86-15 reference(s)		Tridimensional display of an aperiodic Penrose tiling of the plane with a fractal noise
87-14 reference(s)		Untitled 0293 -a Tribute to Pierre Soulages
88-14 reference(s)
The generalized Ulam spiral
89-14 reference(s)		Color palette 'jaune'
90-14 reference(s)		A 'pyramidal' cross-section inside the Menger Sponge -iteration 5- with a (4xO+1)/(1xO-1) conformal transformation in the octonionic space -tridimensional cross-section-, 'Ô temps tes pyramides' -a Tribute to Jorge Luis Borges-
91-14 reference(s)		A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb')computed with A=(-0.581514...,+0.635888...,0,0,0,0,0,0) and with a rotation about the X axis -tridimensional cross-section-
92-14 reference(s)
Tridimensional Hilbert Curve -iteration 3-
93-14 reference(s)		Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
94-14 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
95-14 reference(s)		2000 evenly distributed points on a sphere by means of the Fibonacci spiral
96-13 reference(s)
The Sierpinski Carpet -iteration 3-
97-13 reference(s)		The Boy surface
98-13 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
99-13 reference(s)		The Borromean Rings
100-13 reference(s)
Botticelli anomaly on the Moon
101-13 reference(s)		Tridimensional high resolution visualization of the Verhulst dynamics -'Time Ships', a Tribute to Stephen Baxter-
102-13 reference(s)		Maurits Cornelis Escher meets Piet Mondrian
103-13 reference(s)		Bidimensional Hilbert Curve -iteration 4-
104-13 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
105-13 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
106-13 reference(s)		The 5x5=25 patches of the tridimensional representation of a quadridimensional Calabi-Yau manifold
107-13 reference(s)		Quantum vacuum fluctuations
108-12 reference(s)
An aperiodic Penrose tiling of the Golden Decagon -a Tribute to Piet Mondrian and Roger Penrose-
109-12 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
110-12 reference(s)		The Sierpinski Carpet -iteration 1-
111-12 reference(s)		Dissonance chaude/Dissonance froide -a Tribute to Paul Sérusier-
112-12 reference(s)
Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
113-12 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
114-12 reference(s)		The intersection of the Menger Sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-
115-12 reference(s)		Untitled 0231 -a Tribute to Philippe Druillet-
116-12 reference(s)
The Lorenz attractor
117-12 reference(s)		7-foil torus knot on its torus
118-12 reference(s)		Isle of the Dead -a Tribute to Arnold Böcklin-
119-12 reference(s)		A fractal Klein bottle
120-12 reference(s)
My own quadruple impossible staircase -a Tribute to Maurits Cornelis Escher-
121-12 reference(s)		The normal field of a tridimensional representation of a quadridimensional Calabi-Yau manifold
122-12 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
123-12 reference(s)		The Klein bottle
124-12 reference(s)
Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0]
125-11 reference(s)		Along the border of the Mandelbrot set
126-11 reference(s)		The Sierpinski Carpet -iteration 2-
127-11 reference(s)		The Sierpinski Carpet -iteration 1 to 5-
128-11 reference(s)




2-The 128 most referenced Pages (*):

(*): Unclickable pages -if any- do not exist.



1-An2000.01.Fra
870 reference(s)		2-demo_14
811 reference(s)
3-Vcatalogue.11
685 reference(s)		4-help.
453 reference(s)
5-AVirtualSpaceTimeTravelMachine.Ang
341 reference(s)		6-ComplexiteStructurelleClassements.11
307 reference(s)
7-Informations_GoodNewsAndBadNews.01.Fra
263 reference(s)		8-Galerie_DeterministicFractalGeometry.FV
256 reference(s)
9-GenieLogiciel_VisualisationScientifique.01.vv
247 reference(s)		10-Galerie_NumberTheory.FV
222 reference(s)
11-Galerie_ArtisticCreation.FV
215 reference(s)		12-AVirtualSpaceTimeTravelMachine.Fra
215 reference(s)
13-ImagesDuVirtuel.01.Fra
204 reference(s)		14-Exposition_EcolePolytechnique_FeteDeLaScience_201910
201 reference(s)
15-Informations_GoodNewsAndBadNews.01.Ang
200 reference(s)		16-GoldenTriangle.01.Fra
196 reference(s)
17-RealNumbers.01.Fra
195 reference(s)		18-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
195 reference(s)
19-EnsembleDesGaleries.DIAPO.0946
195 reference(s)		20-mail.01.vv
193 reference(s)
21-MathematiquesPhysiqueFractales.02
190 reference(s)		22-ImagesDuVirtuel.01.Fra.FV
190 reference(s)
23-Fractal.11
190 reference(s)		24-FloatingPointNumbers.01.Fra
186 reference(s)
25-SurfaceProjector.01.Fra
184 reference(s)		26-Stereogrammes_AutoStereogrammes.01
183 reference(s)
27-EnsembleDesGaleries.DIAPO.0947
183 reference(s)		28-AProposSite.01.Fra
183 reference(s)
29-MorePages.
182 reference(s)		30-EnsembleDesGaleries.DIAPO.0945
182 reference(s)
31-Fractal.01
181 reference(s)		32-EnsembleDesGaleries.DIAPO.0948
180 reference(s)
33-LOG_xiMc.11
172 reference(s)		34-EnsembleDesGaleries.DIAPO.0949
172 reference(s)
35-EnsembleDesGaleries.DIAPO.0938
171 reference(s)		36-GenieLogiciel.01.Fra
169 reference(s)
37-Commentaires_NKleinBottle.01
169 reference(s)		38-present.01.
168 reference(s)
39-EnsembleDesGaleries.DIAPO.0950
168 reference(s)		40-Galerie_ImagesDesMathematiques.FV
167 reference(s)
41-SurfaceProjector.01.Ang
166 reference(s)		42-NDimensionalDeterministicFractalSets.01.Fra
165 reference(s)
43-EnsembleDesGaleries.DIAPO.0939
165 reference(s)		44-copyright.01.
164 reference(s)
45-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
164 reference(s)		46-DieuScience.01.Fra
162 reference(s)
47-MathematiquesPhysiqueFractales.12
161 reference(s)		48-Galerie_GeneralitiesVisualization.FV
161 reference(s)
49-EnsembleDesGaleries.DIAPO.0951
161 reference(s)		50-Galerie_NewPictures.FV
160 reference(s)
51-EnsembleDesGaleries.DIAPO.0940
160 reference(s)		52-create.03.
159 reference(s)
53-EnsembleDesGaleries.DIAPO.0941
159 reference(s)		54-DuModeleALImage.02.Fra
159 reference(s)
55-catalogue.11
158 reference(s)		56-ExpV_VirE.11
158 reference(s)
57-EnsembleDesGaleries.DIAPO.0952
158 reference(s)		58-EnsembleDesGaleries.DIAPO.0937
158 reference(s)
59-Galerie_ArtAndScience.FV
156 reference(s)		60-FaireDeLaRecherche.01.vv
156 reference(s)
61-Fractal.21
154 reference(s)		62-FloatingPointNumbers.01.Ang
154 reference(s)
63-EntrelacsIntertwinings.01.Ang
154 reference(s)		64-EnsembleDesGaleries.DIAPO.0942
154 reference(s)
65-EnsembleDesGaleries.DIAPO.0953
153 reference(s)		66-demo.14
151 reference(s)
67-EnsembleDesGaleries.DIAPO.0955
151 reference(s)		68-demo14
150 reference(s)
69-demo
150 reference(s)		70-an2000
150 reference(s)
71-EnsembleDesGaleries.DIAPO.0954
150 reference(s)		72-realnumbers
149 reference(s)
73-nombresreels
149 reference(s)		74-logiciel
149 reference(s)
75-genielogiciel
149 reference(s)		76-MathematiquesPhysiqueFractales.22
149 reference(s)
77-Fractal.03
148 reference(s)		78-NDimensionalDeterministicFractalSets.01.Ang
147 reference(s)
79-Galerie_TextureSynthesis.FV
146 reference(s)		80-Galerie_DeterministicChaos.FV
146 reference(s)
81-UlamSpiral.01.Fra
145 reference(s)		82-EnsembleDesGaleries.DIAPO.0182
145 reference(s)
83-Galerie_ParticleSystems.FV
144 reference(s)		84-EnsembleDesGaleries.DIAPO.0956
144 reference(s)
85-Autostereograms.01.
144 reference(s)		86-AnimFractal.01.
144 reference(s)
87-OrdinateurMathematiquesArt.01.Fra
143 reference(s)		88-EnsembleDesGaleries.DIAPO.0727
143 reference(s)
89-EnsembleDesGaleries.DIAPO.0280
143 reference(s)		90-EnsembleDesGaleries.DIAPO.0957
142 reference(s)
91-EnsembleDesGaleries.DIAPO.0943
142 reference(s)		92-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
142 reference(s)
93-MathematiquesModeleOutilArtiste.02.Ang
141 reference(s)		94-EnsembleDesGaleries.DIAPO.0958
141 reference(s)
95-EnsembleDesGaleries.DIAPO.0183
139 reference(s)		96-EnsembleDesGaleries.DIAPO.0728
138 reference(s)
97-EnsembleDesGaleries.DIAPO.0281
138 reference(s)		98-Galerie_BestOf.FV
137 reference(s)
99-EnsembleDesGaleries.DIAPO.1090
137 reference(s)		100-EnsembleDesGaleries.DIAPO.0184
137 reference(s)
101-Galerie_Astrophysics.FV
136 reference(s)		102-EntrelacsIntertwinings.01.Fra
136 reference(s)
103-EnsembleDesGaleries.DIAPO.0185
136 reference(s)		104-subject.01.
135 reference(s)
105-Galerie_SensitivityToRoundingOffErrors.FV
135 reference(s)		106-FaireDesMathematiques.01.Fra
135 reference(s)
107-EnsembleDesGaleries.DIAPO.0959
135 reference(s)		108-EnsembleDesGaleries.DIAPO.0186
135 reference(s)
109-MonodimensionalCellularAutomata.01.Fra
134 reference(s)		110-EnsembleDesGaleries.DIAPO.1091
134 reference(s)
111-Galerie_SignalProcessing.FV
133 reference(s)		112-EnsembleDesGaleries.DIAPO.0960
133 reference(s)
113-EnsembleDesGaleries.DIAPO.0729
133 reference(s)		114-AQuoiServentLesMathematiques.01
133 reference(s)
115-Informations_AboutPicturesAnimationsAndFiles.01.Ang
132 reference(s)		116-EnsembleDesGaleries.DIAPO.0944
132 reference(s)
117-EnsembleDesGaleries.DIAPO.0187
132 reference(s)		118-NatureDesMathematiques.01.vv.Fra
131 reference(s)
119-EnsembleDesGaleries.DIAPO.0919
131 reference(s)		120-EnsembleDesGaleries.DIAPO.0844
130 reference(s)
121-EnsembleDesGaleries.DIAPO.0731
130 reference(s)		122-EnsembleDesGaleries.DIAPO.0188
130 reference(s)
123-PerteDeLAssociativite.01
129 reference(s)		124-Kepler.02.
129 reference(s)
125-ImpossibleStructures.01.Ang
129 reference(s)		126-IllusionConnaissance.02
129 reference(s)
127-EnsembleDesGaleries.DIAPO.1089
129 reference(s)		128-EnsembleDesGaleries.DIAPO.0927
129 reference(s)

And now, enjoy visiting A Virtual Space-Time Travel Machine.




Copyright © Jean-François COLONNA, 2019-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2019-2024.